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345034100 = 22526015741
BaseRepresentation
bin10100100100001…
…100110101110100
3220001020112210202
4110210030311310
51201312042400
654123140032
711356512215
oct2444146564
9801215722
10345034100
11167843254
1297674618
1356637ab8
1433b7740c
15204574d5
hex1490cd74

345034100 has 36 divisors (see below), whose sum is σ = 750100428. Its totient is φ = 137760000.

The previous prime is 345034093. The next prime is 345034103. The reversal of 345034100 is 1430543.

It can be written as a sum of positive squares in 6 ways, for example, as 708964 + 344325136 = 842^2 + 18556^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345034103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57230 + ... + 62970.

It is an arithmetic number, because the mean of its divisors is an integer number (20836123).

Almost surely, 2345034100 is an apocalyptic number.

It is an amenable number.

345034100 is an abundant number, since it is smaller than the sum of its proper divisors (405066328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345034100 is a wasteful number, since it uses less digits than its factorization.

345034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 345034100 is about 18575.0935394684. The cubic root of 345034100 is about 701.3810151294.

Adding to 345034100 its reverse (1430543), we get a palindrome (346464643).

The spelling of 345034100 in words is "three hundred forty-five million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 1202 2404 3005 5741 6010 11482 12020 15025 22964 28705 30050 57410 60100 114820 143525 287050 574100 3450341 6900682 13801364 17251705 34503410 69006820 86258525 172517050 345034100